Answer:
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
Step-by-step explanation:
we have
we know that
The roots of the quadratic function are the values of x when the value of the function is equal to zero
so
For f(b)=0
Solve for b
Adds 75 both sides
take square root both sides
Simplify
therefore
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
For this case what you must do is to determine the value of r of the given equation:
A = pi * r ^ 2.
Clearing the value of r we have:
r = root (A / pi)
Note that r has two roots:
r1: = + root (A / pi)
r2: = - root (A / pi)
In this case we must ignore the negative root.
Answer:
The formula to find r is
r = root (A / pi)
She has 9/8 cups of brown sugar as a fraction. As a decimal, which is easier to work with here, it is 1.125. She needs 1.5 cups. If we set this up as a proportion, we can figure out how many cookies she can make meeting the restriction of brown sugar, and then scale the other ingredients down accordingly. To figure the number of cookies, our proportion will have brown sugar on top and number of cookies on bottom. What we are looking for is the number of cookies she can make with 1.125 cups of brown sugar when she can make 24 with 1.5 cups of brown sugar.
. Cross multiply to get 1.5x = 27 and x = 18. She can make 18 cookies. Now let's backtrack to the ingredients based on the number of cookies we can make. Set each ingredient up in a proportion with the ingredient on top and the number of cookies on the bottom. First ingredient you want is flour. 2.25 cups of flour make 24 cookies and we need to find out how much flour will we need to make 18 cookies.
. Cross multiply to get 24x = 40.5 which simplifies to x = 27/16 or 1 11/16 cups of flour. Do all the ingredients in the same way and you'll be fine!
Answer:
Step-by-step explanation:
mid point=((7-1)/2,(-1+5)/2)=(3,2)
The ratios of y over x are all equal to 1/3, thus we may infer that: B. the table is proportionate.
What is a Proportional Relationship?
Any pair of values in a table that depicts a proportionate relationship have the same value for the proportionality constant, k, where k = y/x.
Check each pair of values in the table to see if k is the same:
(36.75, 12.25):
k = 12.25/36.75 = 0.33
(16.8, 5.6):
k = 5.6/16.8 = 0.33
(77.1, 25.7):
k = 25.7/77.1 = 0.33
It is proportionate because the ratios of y across x are all equal to 1/3, which implies that the value of k is identical for all values.
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